Download or read book Nonlinear Kinetic Theory and Mathematical Aspects of Hyperbolic Systems written by Vinicio C Boffi and published by World Scientific. This book was released on 1992-10-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Mathematical Biology and Kinetic Theory Evolution of the Dominance in a Population of Interacting Organisms (N Bellomo & M Lachowicz)Formation of Maxwellian Tails (A V Bobylev)On Long Time Asymptotics of the Vlasov-Poisson-Boltzmann System (J Dolbeault)The Classical Limit of a Self-Consistent Quantum-Vlasov Equation in 3-D (P A Markowich & N J Mauser)Simple Balance Methods for Transport in Stochastic Mixtures (G C Pomraning)Knudsen Layer Analysis by the Semicontinuous Boltzmann Equation (L Preziosi)Remarks on a Self Similar Fluid Dynamic Limit for the Broadwell System (M Slemrod & A E Tzavaras)On Extended Kinetic Theory with Chemical Reaction (C Spiga)Stability and Exponential Convergence in Lp for the Spatially Homogeneous Boltzmann Equation (B Wennberg)and other papers Readership: Applied mathematicians. keywords:Proceedings;Workshop;Rapallo (Italy);Kinetic Theory;Hyperbolic Systems;Nonlinear Kinetic Theory
Download or read book From Hyperbolic Systems to Kinetic Theory written by Luc Tartar and published by Springer Science & Business Media. This book was released on 2008-02-26 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book, penned by Luc Tartar of America’s Carnegie Mellon University, starts from the premise that equations of state are not always effective in continuum mechanics. Tartar relies on H-measures, a tool created for homogenization, to explain some of the weaknesses in the theory. These include looking at the subject from the point of view of quantum mechanics. Here, there are no "particles", so the Boltzmann equation and the second principle, can’t apply.
Download or read book Mathematical Topics in Nonlinear Kinetic Theory II written by N. Bellomo and published by World Scientific. This book was released on 1991 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the relevant mathematical aspects related to the kinetic equations for moderately dense gases with particular attention to the Enskog equation.
Download or read book Mathematical Topics In Nonlinear Kinetic Theory written by Nicola Bellomo and published by World Scientific. This book was released on 1989-01-01 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has the aim of dealing with the Nonlinear evolution problems related to the spatially dependent Boltzmann and Enskog equations.
Download or read book Hyperbolic Systems of Conservation Laws written by Philippe G. LeFloch and published by Springer Science & Business Media. This book was released on 2002-07-01 with total page 1010 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.
Download or read book Microscopic Theory of Condensation in Gases and Plasma written by A L Itkin and published by World Scientific. This book was released on 1997-06-16 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes results on the creation of a new theory of condensation which has an impact on consideration of some microscopic effects left aside in the usual nucleation theories. In particular, the main idea of the authors' microscopic condensation theory is that it considers the violation of the equilibrium cluster distribution over the internal degrees of freedom due to co-occurring condensation and decay reactions of the clusters. Contents:Brief Review of the Existing Nucleation TheoriesMain Principles of the Microscopic Theory of CondensationJuxtaposition with the Other Theories and ExperimentsKinetic Theory of Photostimulated NucleationKinetic Theory of Iron-Induced NucleationConclusionsAppendices: Dimensionless Form of SystemLow-Pressure LimitQuasisteady Equations for ConcentrationsFORTRAN Subroutines for Computing Parameters of the Theory Readership: Applied mathematicians, physicists, chemists and aeronomers. keywords:Nucleation;Nonequilibrium;Kinetics;Internal Degrees of Freedom;Cluster;Ion-Induced;Photo-Stimulated;Diffusion Chamber;Analytical Solutions;New Rate Constants;Fortran Subroutines
Download or read book Mathematical Topics In Nonlinear Kinetic Theory Ii written by Nicola Bellomo and published by . This book was released on 1991 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singularly Perturbed Evolution Equations with Applications to Kinetic Theory written by J. R. Mika and published by World Scientific. This book was released on 1995 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters. In this book it is intended to gather the existing results as well as to introduce new ones on the field of initial value problems for singularly perturbed evolution equations of the resonance type. Such equations are of great interest in the applied sciences, particularly in the kinetic theory which is chosen as the main field of application for the asymptotic theory developed in the monograph.
Download or read book Mathematical Topics in Neutron Transport Theory written by M Mokhtar-Kharroubi and published by World Scientific. This book was released on 1997-12-18 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some recent mathematical developments about neutron transport equations. Several different topics are dealt with including regularity of velocity averages, spectral analysis of transport operators, inverse problems, nonlinear problems arising in the stochastic theory of neutron chain fissions, compactness properties of perturbed of c0-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of c0-semigroups in Banach spaces with applications to singular transport equations, a thorough analysis of the leading eigenelements of transport operators and their approximation, scattering theory. Besides the new problems addressed in this book a unification and extension of the classical spectral analysis of neutron transport equations is given. Contents:Compactness Properties of Perturbed c0-SemigroupsRegularity of Velocity AveragesSpectral Analysis of Transport Equations. A Unified TheoryOn the Leading Eigenelements of Transport OperatorsSpectral Theory of Transport of Operators with Form Positive Collision OperatorsOn Miyadera Perturbations of c0-SemigroupsOn Resolvent Positive Operators and Positive c0-Semigroups in L1(μ) SpacesOn Singular Neutron Transport Equations in L1 SpacesStochastic Formulations of Neutron Transport. Nonlinear ProblemsVelocity Averages and Inverse ProblemsLimiting Absorption Principles and Wave Operators in L1(μ) Spaces with Applications to Transport TheoryLin's Factorization Formalism and Applications to Transport TheoryInverse Scattering and Albedo Operator Readership: Applied mathematicians and mathematical physicists. keywords:Transport Operator;Spectral Theory;Compactness;Semigroup;Positive Operator;Irreducibility;Leading Eigenvalue;Neutron Chain Fissions;Inverse Problems;Scattering Theory
Download or read book Nonlinear Evolution Equations Kinetic Approach written by Niva B Maslova and published by World Scientific. This book was released on 1993-03-10 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the questions of the long-time behavior of solutions for evolution equations, connected with kinetic models in statistical physics. There is a wide variety of problems where such models are used to obtain reasonable physical as well as numerical results (Fluid Mechanics, Gas Dynamics, Plasma Physics, Nuclear Physics, Turbulence Theory etc.). The classical examples provide the nonlinear Boltzmann equation. Investigation of the long-time behavior of the solutions for the Boltzmann equation gives an approach to the nonlinear fluid dynamic equations. From the viewpoint of dynamical systems, the fluid dynamic equations arise in the theory as a tool to describe an attractor of the kinetic equation.
Download or read book Advances in Kinetic Theory and Computing written by B. Perthame and published by World Scientific. This book was released on 1994 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of 8 papers discusses ?Equations of Kinetic Physics? with emphasis on analysis, modelling and computing. The first 3 papers are on numerical methods for Vlasov-Poisson and Vlasov-Maxwell Equations ? Comparison between Particles and Eulerian Methods (G Manfredi and M R Feix), Computing BGK Instability with Eulerian Codes (M R Feix, Pertrand & A Ghieco) and Coupling Particles and Eulerian Methods (S Mas-Gallic and P A Raviart) ? Followed by a survey of kinetic and macroscopic models for semiconductor devices ? Boltzmann Equation, Drift-Diffusion Models (F Poupaud). In addition, there are 2 papers on the modelling and analysis of singular perturbation problems arising in plasma physics ? Derivation of the Child-Lagmuyr Emission Laws (P Degond) and Euler Models with Small Pressure Terms (F Bouchut) ? followed by two papers on the analysis and numerical analysis of the Boltzmann equations ? Symmetry Properties in the Polynomials Arising in Chapman-Enskog Expansion (L Desvillettes and F Golse) and A General Introduction to Computing the Boltzmann Equations with Random Particle Methods (B Perthame).
Download or read book Numerical Approximation of Hyperbolic Systems of Conservation Laws written by Edwige Godlewski and published by Springer Nature. This book was released on 2021-08-28 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
Download or read book Advances in Kinetic Theory and Computing Selected Papers written by B Perthame and published by World Scientific. This book was released on 1994-09-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of 8 papers discusses “Equations of Kinetic Physics” with emphasis on analysis, modelling and computing. The first 3 papers are on numerical methods for Vlasov-Poisson and Vlasov-Maxwell Equations — Comparison between Particles and Eulerian Methods (G Manfredi and M R Feix), Computing BGK Instability with Eulerian Codes (M R Feix, Pertrand & A Ghieco) and Coupling Particles and Eulerian Methods (S Mas-Gallic and P A Raviart) — Followed by a survey of kinetic and macroscopic models for semiconductor devices — Boltzmann Equation, Drift-Diffusion Models (F Poupaud). In addition, there are 2 papers on the modelling and analysis of singular perturbation problems arising in plasma physics — Derivation of the Child-Lagmuyr Emission Laws (P Degond) and Euler Models with Small Pressure Terms (F Bouchut) — followed by two papers on the analysis and numerical analysis of the Boltzmann equations — Symmetry Properties in the Polynomials Arising in Chapman-Enskog Expansion (L Desvillettes and F Golse) and A General Introduction to Computing the Boltzmann Equations with Random Particle Methods (B Perthame). Contents:Vlasov-Poisson in Plasma Physics:The Child-Langmuir Law in the Kinetic Theory of Charged-Particles. Part 1, Electron Flows in Vacuum (P Degond)Eulerian Codes for the Vlasov Equation (M R Feix et al.)Mathematical Models of Ion Extraction and Plasma Sheaths (S Mas-Gallic & P A Raviart)Quantum Mechanics and Semiconductors:Transport Equations for Quantum Plasmas (G Manfredi & M R Feix)Mathematical Theory of Kinetic Equations for Transport Modelling in Semiconductors (F Poupaud)Boltzmann Equations and Gas Dynamics:On Zero Pressure Gas Dynamics (F Bouchut)A Remark Concerning the Chapman-Enskog Asymptotics (L Desvillettes & F Golse)Introduction to the Theory of Random Particle Methods for Boltzmann Equation (B Perthame) Readership: Applied mathematicians. keywords:Semiconductor Modelling ;Plasma Physics;Boltzmann Equation;Monte-Carlo Method;Particle Methods;Quantum Mechanics;Vlasov Equation;Hypersonic Flows;Kinetic Theory;Multiscale Analysis
Download or read book Global Controllability And Stabilization Of Nonlinear Systems written by Sergey Nikitin and published by World Scientific. This book was released on 1994-09-30 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to provide a self-contained, complete and geometrically clear presentation of the recent results on global controllability and stabilization. It contains many pictures and exercises so as to develop a geometrical control intuition and inspire the reader to think independently. The material presented is organized such that for Part I, it is only assumed that the reader has mastered the very basic notions of ordinary differential equation theory, general topology and analytic geometry. For Part II, the reader is assumed to be familiar with the elements of differential geometry.
Download or read book Nonlinear Hyperbolic Problems Theoretical Applied and Computational Aspects written by Andrea Donato and published by Notes on Numerical Fluid Mechanics and Multidisciplinary Design. This book was released on 1993 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains original papers presented at the Fourth International Conference on Hyperbolic Problems which was held on April 3-8, 1992 in Taormina (Sicily), Italy. The aim of the Conferences in this cycle is to bring together scientists with interest in theo retical, applied and computational aspects of hyperbolic partial differential equations. The contributions, well balanced among these three aspects, deal with: mathematical theory of wave propagation, kinetic theory, existence, uniqueness and stabil ity of solutions, mathematical modeling of physical phenomena, stability and convergence of numerical schemes, multidimensional computational applications, etc. The papers are printed in the authors' alphabetic order following the idea both of mixing together topics of interest to different areas and of considering either theoretical results connected with applied problems or new applications with an essential mathemat ical approach. The Proceedings from the previous Conferences held in St. Etienne (1986), Aachen (1988) and Uppsala (1990) appeared respectively as: * Lecture Notes in Mathematics, 1270, P. Carasso, P. A. Raviart & D. Serre (Eds.), Springer-Verlag (1987) * Notes on Numerical Fluid Mechanics, 24, J. Ballmann & R. Jeltsch (Eds.), Vieweg (1989 ) * Third International Conference on Hyperbolic Problems, B. Engquist & B. Gustafs son (Eds.), Vol. I, II, Studentlitteratur, Uppsala University (1991). The organizers and the editors of the Conference would like to thank the Scientific Committee for the generous support, for suggesting the invited lectures, and for selecting the contributed papers.
Download or read book Advances in Nonlinear Partial Differential Equations and Stochastics written by Shuichi Kawashima and published by World Scientific. This book was released on 1998 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past two decades, there has been great progress in the theory of nonlinear partial differential equations. This book describes the progress, focusing on interesting topics in gas dynamics, fluid dynamics, elastodynamics etc. It contains ten articles, each of which discusses a very recent result obtained by the author. Some of these articles review related results.
Download or read book Mathematical Topics in Neutron Transport Theory written by M. Mokhtar-Kharroubi and published by World Scientific. This book was released on 1997 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some recent mathematical developments about neutron transport equations. Several different topics are dealt with including regularity of velocity averages, spectral analysis of transport operators, inverse problems, nonlinear problems arising in the stochastic theory of neutron chain fissions, compactness properties of perturbed of 0-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of c0-semigroups in Banach spaces with applications to singular transport equations, a thorough analysis of the leading eigenelements of transport operators and their approximation, scattering theory. Besides the new problems addressed in this book a unification and extension of the classical spectral analysis of neutron transport equations is given.
